Question

If tu = 6 units, what must be true? su ut = rt rt tu = rs rs su = ru tu us = rs

Answer 1

In the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.

What is the length of line segment?

Length of a line segment is the distance of both the ends of it.

The length of the line segment TU is 6 units.

$TU=6\rm\; units$

In the figure attached below, the length of line segment RT is 12 and RS is 24. Thus, the value of RS is double than the value of RT.

$RT=2RS\\RS=\dfrac{RT}{2}$

RS is the total length of the segment, which is equal to the length of RT and ST.

$RT+ST=24\\12+(SU+UT)=24\\(SU+UT)=24-12\\SU+UT=12$

12 is the length of RT. Thus,

$SU+UT=RT$

Hence, in the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.

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